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Finding the Fourth Proportional to 354.72, 489.60 and 261.60

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Solution

The fourth proportional to 354.72, 489.60 and 261.60 is: 361.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.72 : 489.60 = 261.60 : x
  2. Step 2: Convert to fraction form
    354.72/489.60 = 261.60/x
  3. Step 3: Cross multiply
    354.72x = 489.60 × 261.60
  4. Step 4: Simplify right side
    354.72x = 128,079.36
  5. Step 5: Solve for x
    x = 128,079.36/354.72
  6. Step 6: Final answer
    x = 361.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.